Computer architecture for emulating a node in a correlithm object processing system

ABSTRACT

A device configured to emulate a node in a correlithm object processing system includes a memory and a node. The memory stores a node table that links source correlithm objects to target correlithm objects. The node receives an input correlithm object and determines n-dimensional distances between it and the source correlithm objects, and determines that it is not within an n-dimensional distance threshold from any of the source correlithm objects in the node table. The node adds the input correlithm object to the node table as a new source correlithm object in response to determining that it is not within the n-dimensional distance threshold from any of the source correlithm objects in the node table. The node then links a new target correlithm object to the new source correlithm object in the node table.

TECHNICAL FIELD

The present disclosure relates generally to computer architectures for emulating a processing system, and more specifically to a computer architecture for emulating a node in a correlithm object processing system.

BACKGROUND

Conventional computers are highly attuned to using operations that require manipulating ordinal numbers, especially ordinal binary integers. The value of an ordinal number corresponds with its position in a set of sequentially ordered number values. These computers use ordinal binary integers to represent, manipulate, and store information. These computers rely on the numerical order of ordinal binary integers representing data to perform various operations such as counting, sorting, indexing, and mathematical calculations. Even when performing operations that involve other number systems (e.g. floating point), conventional computers still resort to using ordinal binary integers to perform any operations.

Ordinal based number systems only provide information about the sequence order of the numbers themselves based on their numeric values. Ordinal numbers do not provide any information about any other types of relationships for the data being represented by the numeric values such as similarity. For example, when a conventional computer uses ordinal numbers to represent data samples (e.g. images or audio signals), different data samples are represented by different numeric values. The different numeric values do not provide any information about how similar or dissimilar one data sample is from another. Unless there is an exact match in ordinal number values, conventional systems are unable to tell if a data sample matches or is similar to any other data samples. As a result, conventional computers are unable to use ordinal numbers by themselves for comparing different data samples and instead these computers rely on complex signal processing techniques. Determining whether a data sample matches or is similar to other data samples is not a trivial task and poses several technical challenges for conventional computers. These technical challenges result in complex processes that consume processing power which reduces the speed and performance of the system. The ability to compare unknown data samples to known data samples is crucial for many security applications such as facial recognition, voice recognition, and fraud detection.

Thus, it is desirable to provide a solution that allows computing systems to efficiently determine how similar different data samples are to each other and to perform operations based on their similarity.

SUMMARY

Conventional computers are highly attuned to using operations that require manipulating ordinal numbers, especially ordinal binary integers. The value of an ordinal number corresponds with its position in a set of sequentially ordered number values. These computers use ordinal binary integers to represent, manipulate, and store information. These computers rely on the numerical order of ordinal binary integers representing data to perform various operations such as counting, sorting, indexing, and mathematical calculations. Even when performing operations that involve other number systems (e.g. floating point), conventional computers still resort to using ordinal binary integers to perform any operations.

Ordinal based number systems only provide information about the sequence order of the numbers themselves based on their numeric values. Ordinal numbers do not provide any information about any other types of relationships for the data being represented by the numeric values such as similarity. For example, when a conventional computer uses ordinal numbers to represent data samples (e.g. images or audio signals), different data samples are represented by different numeric values. The different numeric values do not provide any information about how similar or dissimilar one data sample is from another. Unless there is an exact match in ordinal number values, conventional systems are unable to tell if a data sample matches or is similar to any other data samples. As a result, conventional computers are unable to use ordinal numbers by themselves for comparing different data samples and instead these computers rely on complex signal processing techniques. Determining whether a data sample matches or is similar to other data samples is not a trivial task and poses several technical challenges for conventional computers. These technical challenges result in complex processes that consume processing power which reduces the speed and performance of the system. The ability to compare unknown data samples to known data samples is crucial for many applications such as security application (e.g. face recognition, voice recognition, and fraud detection).

The system described in the present application provides a technical solution that enables the system to efficiently determine how similar different objects are to each other and to perform operations based on their similarity. In contrast to conventional systems, the system uses an unconventional configuration to perform various operations using categorical numbers and geometric objects, also referred to as correlithm objects, instead of ordinal numbers. Using categorical numbers and correlithm objects on a conventional device involves changing the traditional operation of the computer to support representing and manipulating concepts as correlithm objects. A device or system may be configured to implement or emulate a special purpose computing device capable of performing operations using correlithm objects. Implementing or emulating a correlithm object processing system improves the operation of a device by enabling the device to perform non-binary comparisons (i.e. match or no match) between different data samples. This enables the device to quantify a degree of similarity between different data samples. This increases the flexibility of the device to work with data samples having different data types and/or formats, and also increases the speed and performance of the device when performing operations using data samples. These technical advantages and other improvements to the device are described in more detail throughout the disclosure.

In one embodiment, the system is configured to use binary integers as categorical numbers rather than ordinal numbers which enables the system to determine how similar a data sample is to other data samples. Categorical numbers provide information about similar or dissimilar different data samples are from each other. For example, categorical numbers can be used in facial recognition applications to represent different images of faces and/or features of the faces. The system provides a technical advantage by allowing the system to assign correlithm objects represented by categorical numbers to different data samples based on how similar they are to other data samples. As an example, the system is able to assign correlithm objects to different images of people such that the correlithm objects can be directly used to determine how similar the people in the images are to each other. In other words, the system can use correlithm objects in facial recognition applications to quickly determine whether a captured image of a person matches any previously stored images without relying on conventional signal processing techniques.

Correlithm object processing systems use new types of data structures called correlithm objects that improve the way a device operates, for example, by enabling the device to perform non-binary data set comparisons and to quantify the similarity between different data samples. Correlithm objects are data structures designed to improve the way a device stores, retrieves, and compares data samples in memory. Correlithm objects also provide a data structure that is independent of the data type and format of the data samples they represent. Correlithm objects allow data samples to be directly compared regardless of their original data type and/or format.

A correlithm object processing system uses a combination of a sensor table, a node table, and/or an actor table to provide a specific set of rules that improve computer-related technologies by enabling devices to compare and to determine the degree of similarity between different data samples regardless of the data type and/or format of the data sample they represent. The ability to directly compare data samples having different data types and/or formatting is a new functionality that cannot be performed using conventional computing systems and data structures.

In addition, correlithm object processing system uses a combination of a sensor table, a node table, and/or an actor table to provide a particular manner for transforming data samples between ordinal number representations and correlithm objects in a correlithm object domain. Transforming data samples between ordinal number representations and correlithm objects involves fundamentally changing the data type of data samples between an ordinal number system and a categorical number system to achieve the previously described benefits of the correlithm object processing system.

Using correlithm objects allows the system or device to compare data samples (e.g. images) even when the input data sample does not exactly match any known or previously stored input values. For example, an input data sample that is an image may have different lighting conditions than the previously stored images. The differences in lighting conditions can make images of the same person appear different from each other. The device uses an unconventional configuration that implements a correlithm object processing system that uses the distance between the data samples which are represented as correlithm objects and other known data samples to determine whether the input data sample matches or is similar to the other known data samples. Implementing a correlithm object processing system fundamentally changes the device and the traditional data processing paradigm. Implementing the correlithm object processing system improves the operation of the device by enabling the device to perform non-binary comparisons of data samples. In other words, the device can determine how similar the data samples are to each other even when the data samples are not exact matches. In addition, the device can quantify how similar data samples are to one another. The ability to determine how similar data samples are to each other is unique and distinct from conventional computers that can only perform binary comparisons to identify exact matches.

A string correlithm object comprising a series of adjacent sub-string correlithm objects whose cores overlap with each other to permit data values to be correlated with each other in n-dimensional space. The distance between adjacent sub-string correlithm objects can be selected to create a tighter or looser correlation among the elements of the string correlithm object in n-dimensional space. Thus, where data values have a pre-existing relationship with each other in the real-world, those relationships can be maintained in n-dimensional space if they are represented by sub-string correlithm objects of a string correlithm object. In addition, new data values can be represented by sub-string correlithm objects by interpolating the distance between those and other data values and representing that interpolation with sub-string correlithm objects of a string correlithm object in n-dimensional space. The ability to migrate these relationships between data values in the real world to relationships among correlithm objects provides a significant advance in the ability to record, store, and faithfully reproduce data within different computing environments. Furthermore, the use of string correlithm objects significantly reduces the computational burden of comparing time-varying sequences of data, or multi-dimensional data objects, with respect to conventional forms of executing dynamic time warping algorithms. The reduced computational burden results in faster processing speeds and reduced loads on memory structures used to perform the comparison of string correlithm objects.

The problems associated with comparing data sets and identifying matches based on the comparison are problems necessarily rooted in computer technologies. As described above, conventional systems are limited to a binary comparison that can only determine whether an exact match is found. Emulating a correlithm object processing system provides a technical solution that addresses problems associated with comparing data sets and identifying matches. Using correlithm objects to represent data samples fundamentally changes the operation of a device and how the device views data samples. By implementing a correlithm object processing system, the device can determine the distance between the data samples and other known data samples to determine whether the input data sample matches or is similar to the other known data samples. In addition, the device can determine a degree of similarity that quantifies how similar different data samples are to one another.

Certain embodiments of the present disclosure may include some, all, or none of these advantages. These advantages and other features will be more clearly understood from the following detailed description taken in conjunction with the accompanying drawings and claims.

BRIEF DESCRIPTION OF THE DRAWINGS

For a more complete understanding of this disclosure, reference is now made to the following brief description, taken in connection with the accompanying drawings and detailed description, wherein like reference numerals represent like parts.

FIG. 1 is a schematic view of an embodiment of a special purpose computer implementing correlithm objects in an n-dimensional space;

FIG. 2 is a perspective view of an embodiment of a mapping between correlithm objects in different n-dimensional spaces;

FIG. 3 is a schematic view of an embodiment of a correlithm object processing system;

FIG. 4 is a protocol diagram of an embodiment of a correlithm object process flow;

FIG. 5 is a schematic diagram of an embodiment a computer architecture for emulating a correlithm object processing system;

FIG. 6 illustrates an embodiment of how a string correlithm object may be implemented within a node by a device;

FIG. 7 illustrates another embodiment of how a string correlithm object may be implemented within a node by a device;

FIG. 8 is a schematic diagram of another embodiment of a device implementing string correlithm objects in a node for a correlithm object processing system;

FIG. 9 is an embodiment of a graph of a probability distribution for matching a random correlithm object with a particular correlithm object;

FIG. 10 is a schematic diagram of an embodiment of a device implementing a correlithm object core in a node for a correlithm object processing system;

FIG. 11 is an embodiment of a graph of probability distributions for adjacent root correlithm objects;

FIG. 12 is a schematic view of an embodiment of a correlithm object processing system; and

FIG. 13 is an embodiment of a process for emulating a node in a correlithm object processing system.

DETAILED DESCRIPTION

FIGS. 1-5 describe various embodiments of how a correlithm object processing system may be implemented or emulated in hardware, such as a special purpose computer. FIGS. 6-19 describe various embodiments of how a correlithm object processing system can generate and use string correlithm objects to record and faithfully playback data values.

FIG. 1 is a schematic view of an embodiment of a user device 100 implementing correlithm objects 104 in an n-dimensional space 102. Examples of user devices 100 include, but are not limited to, desktop computers, mobile phones, tablet computers, laptop computers, or other special purpose computer platform. The user device 100 is configured to implement or emulate a correlithm object processing system that uses categorical numbers to represent data samples as correlithm objects 104 in a high-dimensional space 102, for example a high-dimensional binary cube. Additional information about the correlithm object processing system is described in FIG. 3. Additional information about configuring the user device 100 to implement or emulate a correlithm object processing system is described in FIG. 5.

Conventional computers rely on the numerical order of ordinal binary integers representing data to perform various operations such as counting, sorting, indexing, and mathematical calculations. Even when performing operations that involve other number systems (e.g. floating point), conventional computers still resort to using ordinal binary integers to perform any operations. Ordinal based number systems only provide information about the sequence order of the numbers themselves based on their numeric values. Ordinal numbers do not provide any information about any other types of relationships for the data being represented by the numeric values, such as similarity. For example, when a conventional computer uses ordinal numbers to represent data samples (e.g. images or audio signals), different data samples are represented by different numeric values. The different numeric values do not provide any information about how similar or dissimilar one data sample is from another. In other words, conventional computers are only able to make binary comparisons of data samples which only results in determining whether the data samples match or do not match. Unless there is an exact match in ordinal number values, conventional systems are unable to tell if a data sample matches or is similar to any other data samples. As a result, conventional computers are unable to use ordinal numbers by themselves for determining similarity between different data samples, and instead these computers rely on complex signal processing techniques. Determining whether a data sample matches or is similar to other data samples is not a trivial task and poses several technical challenges for conventional computers. These technical challenges result in complex processes that consume processing power which reduces the speed and performance of the system.

In contrast to conventional systems, the user device 100 operates as a special purpose machine for implementing or emulating a correlithm object processing system. Implementing or emulating a correlithm object processing system improves the operation of the user device 100 by enabling the user device 100 to perform non-binary comparisons (i.e. match or no match) between different data samples. This enables the user device 100 to quantify a degree of similarity between different data samples. This increases the flexibility of the user device 100 to work with data samples having different data types and/or formats, and also increases the speed and performance of the user device 100 when performing operations using data samples. These improvements and other benefits to the user device 100 are described in more detail below and throughout the disclosure.

For example, the user device 100 employs the correlithm object processing system to allow the user device 100 to compare data samples even when the input data sample does not exactly match any known or previously stored input values. Implementing a correlithm object processing system fundamentally changes the user device 100 and the traditional data processing paradigm. Implementing the correlithm object processing system improves the operation of the user device 100 by enabling the user device 100 to perform non-binary comparisons of data samples. In other words, the user device 100 is able to determine how similar the data samples are to each other even when the data samples are not exact matches. In addition, the user device 100 is able to quantify how similar data samples are to one another. The ability to determine how similar data samples are to each other is unique and distinct from conventional computers that can only perform binary comparisons to identify exact matches.

The user device's 100 ability to perform non-binary comparisons of data samples also fundamentally changes traditional data searching paradigms. For example, conventional search engines rely on finding exact matches or exact partial matches of search tokens to identify related data samples. For instance, conventional text-based search engines are limited to finding related data samples that have text that exactly matches other data samples. These search engines only provide a binary result that identifies whether or not an exact match was found based on the search token. Implementing the correlithm object processing system improves the operation of the user device 100 by enabling the user device 100 to identify related data samples based on how similar the search token is to other data sample. These improvements result in increased flexibility and faster search time when using a correlithm object processing system. The ability to identify similarities between data samples expands the capabilities of a search engine to include data samples that may not have an exact match with a search token but are still related and similar in some aspects. The user device 100 is also able to quantify how similar data samples are to each other based on characteristics besides exact matches to the search token. Implementing the correlithm object processing system involves operating the user device 100 in an unconventional manner to achieve these technological improvements as well as other benefits described below for the user device 100.

Computing devices typically rely on the ability to compare data sets (e.g. data samples) to one another for processing. For example, in security or authentication applications a computing device is configured to compare an input of an unknown person to a data set of known people (or biometric information associated with these people). The problems associated with comparing data sets and identifying matches based on the comparison are problems necessarily rooted in computer technologies. As described above, conventional systems are limited to a binary comparison that can only determine whether an exact match is found. As an example, an input data sample that is an image of a person may have different lighting conditions than previously stored images. In this example, different lighting conditions can make images of the same person appear different from each other. Conventional computers are unable to distinguish between two images of the same person with different lighting conditions and two images of two different people without complicated signal processing. In both of these cases, conventional computers can only determine that the images are different. This is because conventional computers rely on manipulating ordinal numbers for processing.

In contrast, the user device 100 uses an unconventional configuration that uses correlithm objects to represent data samples. Using correlithm objects to represent data samples fundamentally changes the operation of the user device 100 and how the device views data samples. By implementing a correlithm object processing system, the user device 100 can determine the distance between the data samples and other known data samples to determine whether the input data sample matches or is similar to the other known data samples, as explained in detail below. Unlike the conventional computers described in the previous example, the user device 100 is able to distinguish between two images of the same person with different lighting conditions and two images of two different people by using correlithm objects 104. Correlithm objects allow the user device 100 to determine whether there are any similarities between data samples, such as between two images that are different from each other in some respects but similar in other respects. For example, the user device 100 is able to determine that despite different lighting conditions, the same person is present in both images.

In addition, the user device 100 is able to determine a degree of similarity that quantifies how similar different data samples are to one another. Implementing a correlithm object processing system in the user device 100 improves the operation of the user device 100 when comparing data sets and identifying matches by allowing the user device 100 to perform non-binary comparisons between data sets and to quantify the similarity between different data samples. In addition, using a correlithm object processing system results in increased flexibility and faster search times when comparing data samples or data sets. Thus, implementing a correlithm object processing system in the user device 100 provides a technical solution to a problem necessarily rooted in computer technologies.

The ability to implement a correlithm object processing system provides a technical advantage by allowing the system to identify and compare data samples regardless of whether an exact match has been previous observed or stored. In other words, using the correlithm object processing system the user device 100 is able to identify similar data samples to an input data sample in the absence of an exact match. This functionality is unique and distinct from conventional computers that can only identify data samples with exact matches.

Examples of data samples include, but are not limited to, images, files, text, audio signals, biometric signals, electric signals, or any other suitable type of data. A correlithm object 104 is a point in the n-dimensional space 102, sometimes called an “n-space.” The value of represents the number of dimensions of the space. For example, an n-dimensional space 102 may be a 3-dimensional space, a 50-dimensional space, a 100-dimensional space, or any other suitable dimension space. The number of dimensions depends on its ability to support certain statistical tests, such as the distances between pairs of randomly chosen points in the space approximating a normal distribution. In some embodiments, increasing the number of dimensions in the n-dimensional space 102 modifies the statistical properties of the system to provide improved results. Increasing the number of dimensions increases the probability that a correlithm object 104 is similar to other adjacent correlithm objects 104. In other words, increasing the number of dimensions increases the correlation between how close a pair of correlithm objects 104 are to each other and how similar the correlithm objects 104 are to each other.

Correlithm object processing systems use new types of data structures called correlithm objects 104 that improve the way a device operates, for example, by enabling the device to perform non-binary data set comparisons and to quantify the similarity between different data samples. Correlithm objects 104 are data structures designed to improve the way a device stores, retrieves, and compares data samples in memory. Unlike conventional data structures, correlithm objects 104 are data structures where objects can be expressed in a high-dimensional space such that distance 106 between points in the space represent the similarity between different objects or data samples. In other words, the distance 106 between a pair of correlithm objects 104 in the n-dimensional space 102 indicates how similar the correlithm objects 104 are from each other and the data samples they represent. Correlithm objects 104 that are close to each other are more similar to each other than correlithm objects 104 that are further apart from each other. For example, in a facial recognition application, correlithm objects 104 used to represent images of different types of glasses may be relatively close to each other compared to correlithm objects 104 used to represent images of other features such as facial hair. An exact match between two data samples occurs when their corresponding correlithm objects 104 are the same or have no distance between them. When two data samples are not exact matches but are similar, the distance between their correlithm objects 104 can be used to indicate their similarities. In other words, the distance 106 between correlithm objects 104 can be used to identify both data samples that exactly match each other as well as data samples that do not match but are similar. This feature is unique to a correlithm processing system and is unlike conventional computers that are unable to detect when data samples are different but similar in some aspects.

Correlithm objects 104 also provide a data structure that is independent of the data type and format of the data samples they represent. Correlithm objects 104 allow data samples to be directly compared regardless of their original data type and/or format. In some instances, comparing data samples as correlithm objects 104 is computationally more efficient and faster than comparing data samples in their original format. For example, comparing images using conventional data structures involves significant amounts of image processing which is time consuming and consumes processing resources. Thus, using correlithm objects 104 to represent data samples provides increased flexibility and improved performance compared to using other conventional data structures.

In one embodiment, correlithm objects 104 may be represented using categorical binary strings. The number of bits used to represent the correlithm object 104 corresponds with the number of dimensions of the n-dimensional space 102 where the correlithm object 102 is located. For example, each correlithm object 104 may be uniquely identified using a 64-bit string in a 64-dimensional space 102. As another example, each correlithm object 104 may be uniquely identified using a 10-bit string in a 10-dimensional space 102. In other examples, correlithm objects 104 can be identified using any other suitable number of bits in a string that corresponds with the number of dimensions in the n-dimensional space 102.

In this configuration, the distance 106 between two correlithm objects 104 can be determined based on the differences between the bits of the two correlithm objects 104. In other words, the distance 106 between two correlithm objects can be determined based on how many individual bits differ between the correlithm objects 104. The distance 106 between two correlithm objects 104 can be computed using Hamming distance, anti-Hamming distance or any other suitable technique.

As an example using a 10-dimensional space 102, a first correlithm object 104 is represented by a first 10-bit string (1001011011) and a second correlithm object 104 is represented by a second 10-bit string (1000011011). The Hamming distance corresponds with the number of bits that differ between the first correlithm object 104 and the second correlithm object 104. Conversely, the anti-Hamming distance corresponds with the number of bits that are alike between the first correlithm object 104 and the second correlithm object 104. Thus, the Hamming distance between the first correlithm object 104 and the second correlithm object 104 can be computed as follows:

1001011011 1000011011 0001000000 In this example, the Hamming distance is equal to one because only one bit differs between the first correlithm object 104 and the second correlithm object. Conversely, the anti-Hamming distance is nine because nine bits are the same between the first and second correlithm objects 104. As another example, a third correlithm object 104 is represented by a third 10-bit string (0110100100). In this example, the Hamming distance between the first correlithm object 104 and the third correlithm object 104 can be computed as follows:

1001011011 0110100100 1111111111 The Hamming distance is equal to ten because all of the bits are different between the first correlithm object 104 and the third correlithm object 104. Conversely, the anti-Hamming distance is zero because none of the bits are the same between the first and third correlithm objects 104. In the previous example, a Hamming distance equal to one indicates that the first correlithm object 104 and the second correlithm object 104 are close to each other in the n-dimensional space 102, which means they are similar to each other. Similarly, an anti-Hamming distance equal to nine also indicates that the first and second correlithm objects are close to each other in n-dimensional space 102, which also means they are similar to each other. In the second example, a Hamming distance equal to ten indicates that the first correlithm object 104 and the third correlithm object 104 are further from each other in the n-dimensional space 102 and are less similar to each other than the first correlithm object 104 and the second correlithm object 104. Similarly, an anti-Hamming distance equal to zero also indicates that that the first and third correlithm objects 104 are further from each other in n-dimensional space 102 and are less similar to each other than the first and second correlithm objects 104. In other words, the similarity between a pair of correlithm objects can be readily determined based on the distance between the pair correlithm objects, as represented by either Hamming distances or anti-Hamming distances.

As another example, the distance between a pair of correlithm objects 104 can be determined by performing an XOR operation between the pair of correlithm objects 104 and counting the number of logical high values in the binary string. The number of logical high values indicates the number of bits that are different between the pair of correlithm objects 104 which also corresponds with the Hamming distance between the pair of correlithm objects 104.

In another embodiment, the distance 106 between two correlithm objects 104 can be determined using a Minkowski distance such as the Euclidean or “straight-line” distance between the correlithm objects 104. For example, the distance 106 between a pair of correlithm objects 104 may be determined by calculating the square root of the sum of squares of the coordinate difference in each dimension.

The user device 100 is configured to implement or emulate a correlithm object processing system that comprises one or more sensors 302, nodes 304, and/or actors 306 in order to convert data samples between real-world values or representations and to correlithm objects 104 in a correlithm object domain. Sensors 302 are generally configured to convert real-world data samples to the correlithm object domain. Nodes 304 are generally configured to process or perform various operations on correlithm objects in the correlithm object domain. Actors 306 are generally configured to convert correlithm objects 104 into real-world values or representations. Additional information about sensors 302, nodes 304, and actors 306 is described in FIG. 3.

Performing operations using correlithm objects 104 in a correlithm object domain allows the user device 100 to identify relationships between data samples that cannot be identified using conventional data processing systems. For example, in the correlithm object domain, the user device 100 is able to identify not only data samples that exactly match an input data sample, but also other data samples that have similar characteristics or features as the input data samples. Conventional computers are unable to identify these types of relationships readily. Using correlithm objects 104 improves the operation of the user device 100 by enabling the user device 100 to efficiently process data samples and identify relationships between data samples without relying on signal processing techniques that require a significant amount of processing resources. These benefits allow the user device 100 to operate more efficiently than conventional computers by reducing the amount of processing power and resources that are needed to perform various operations.

FIG. 2 is a schematic view of an embodiment of a mapping between correlithm objects 104 in different n-dimensional spaces 102. When implementing a correlithm object processing system, the user device 100 performs operations within the correlithm object domain using correlithm objects 104 in different n-dimensional spaces 102. As an example, the user device 100 may convert different types of data samples having real-world values into correlithm objects 104 in different n-dimensional spaces 102. For instance, the user device 100 may convert data samples of text into a first set of correlithm objects 104 in a first n-dimensional space 102 and data samples of audio samples as a second set of correlithm objects 104 in a second n-dimensional space 102. Conventional systems require data samples to be of the same type and/or format to perform any kind of operation on the data samples. In some instances, some types of data samples cannot be compared because there is no common format available. For example, conventional computers are unable to compare data samples of images and data samples of audio samples because there is no common format. In contrast, the user device 100 implementing a correlithm object processing system is able to compare and perform operations using correlithm objects 104 in the correlithm object domain regardless of the type or format of the original data samples.

In FIG. 2, a first set of correlithm objects 104A are defined within a first n-dimensional space 102A and a second set of correlithm objects 104B are defined within a second n-dimensional space 102B. The n-dimensional spaces may have the same number of dimensions or a different number of dimensions. For example, the first n-dimensional space 102A and the second n-dimensional space 102B may both be three dimensional spaces. As another example, the first n-dimensional space 102A may be a three-dimensional space and the second n-dimensional space 102B may be a nine-dimensional space. Correlithm objects 104 in the first n-dimensional space 102A and second n-dimensional space 102B are mapped to each other. In other words, a correlithm object 104A in the first n-dimensional space 102A may reference or be linked with a particular correlithm object 104B in the second n-dimensional space 102B. The correlithm objects 104 may also be linked with and referenced with other correlithm objects 104 in other n-dimensional spaces 102.

In one embodiment, a data structure such as table 200 may be used to map or link correlithm objects 104 in different n-dimensional spaces 102. In some instances, table 200 is referred to as a node table. Table 200 is generally configured to identify a first plurality of correlithm objects 104 in a first n-dimensional space 102 and a second plurality of correlithm objects 104 in a second n-dimensional space 102. Each correlithm object 104 in the first n-dimensional space 102 is linked with a correlithm object 104 is the second n-dimensional space 102. For example, table 200 may be configured with a first column 202 that lists correlithm objects 104A as source correlithm objects and a second column 204 that lists corresponding correlithm objects 104B as target correlithm objects. In other examples, table 200 may be configured in any other suitable manner or may be implemented using any other suitable data structure. In some embodiments, one or more mapping functions may be used to convert between a correlithm object 104 in a first n-dimensional space and a correlithm object 104 is a second n-dimensional space.

FIG. 3 is a schematic view of an embodiment of a correlithm object processing system 300 that is implemented by a user device 100 to perform operations using correlithm objects 104. The system 300 generally comprises a sensor 302, a node 304, and an actor 306. The system 300 may be configured with any suitable number and/or configuration of sensors 302, nodes 304, and actors 306. An example of the system 300 in operation is described in FIG. 4. In one embodiment, a sensor 302, a node 304, and an actor 306 may all be implemented on the same device (e.g. user device 100). In other embodiments, a sensor 302, a node 304, and an actor 306 may each be implemented on different devices in signal communication with each other for example over a network. In other embodiments, different devices may be configured to implement any combination of sensors 302, nodes 304, and actors 306.

Sensors 302 serve as interfaces that allow a user device 100 to convert real-world data samples into correlithm objects 104 that can be used in the correlithm object domain. Sensors 302 enable the user device 100 to compare and perform operations using correlithm objects 104 regardless of the data type or format of the original data sample. Sensors 302 are configured to receive a real-world value 320 representing a data sample as an input, to determine a correlithm object 104 based on the real-world value 320, and to output the correlithm object 104. For example, the sensor 302 may receive an image 301 of a person and output a correlithm object 322 to the node 304 or actor 306. In one embodiment, sensors 302 are configured to use sensor tables 308 that link a plurality of real-world values with a plurality of correlithm objects 104 in an n-dimensional space 102. Real-world values are any type of signal, value, or representation of data samples. Examples of real-world values include, but are not limited to, images, pixel values, text, audio signals, electrical signals, and biometric signals. As an example, a sensor table 308 may be configured with a first column 312 that lists real-world value entries corresponding with different images and a second column 314 that lists corresponding correlithm objects 104 as input correlithm objects. In other examples, sensor tables 308 may be configured in any other suitable manner or may be implemented using any other suitable data structure. In some embodiments, one or more mapping functions may be used to translate between a real-world value 320 and a correlithm object 104 in an n-dimensional space. Additional information for implementing or emulating a sensor 302 in hardware is described in FIG. 5.

Nodes 304 are configured to receive a correlithm object 104 (e.g. an input correlithm object 104), to determine another correlithm object 104 based on the received correlithm object 104, and to output the identified correlithm object 104 (e.g. an output correlithm object 104). In one embodiment, nodes 304 are configured to use node tables 200 that link a plurality of correlithm objects 104 from a first n-dimensional space 102 with a plurality of correlithm objects 104 in a second n-dimensional space 102. A node table 200 may be configured similar to the table 200 described in FIG. 2. Additional information for implementing or emulating a node 304 in hardware is described in FIG. 5.

Actors 306 serve as interfaces that allow a user device 100 to convert correlithm objects 104 in the correlithm object domain back to real-world values or data samples. Actors 306 enable the user device 100 to convert from correlithm objects 104 into any suitable type of real-world value. Actors 306 are configured to receive a correlithm object 104 (e.g. an output correlithm object 104), to determine a real-world output value 326 based on the received correlithm object 104, and to output the real-world output value 326. The real-world output value 326 may be a different data type or representation of the original data sample. As an example, the real-world input value 320 may be an image 301 of a person and the resulting real-world output value 326 may be text 327 and/or an audio signal identifying the person. In one embodiment, actors 306 are configured to use actor tables 310 that link a plurality of correlithm objects 104 in an n-dimensional space 102 with a plurality of real-world values. As an example, an actor table 310 may be configured with a first column 316 that lists correlithm objects 104 as output correlithm objects and a second column 318 that lists real-world values. In other examples, actor tables 310 may be configured in any other suitable manner or may be implemented using any other suitable data structure. In some embodiments, one or more mapping functions may be employed to translate between a correlithm object 104 in an n-dimensional space and a real-world output value 326. Additional information for implementing or emulating an actor 306 in hardware is described in FIG. 5.

A correlithm object processing system 300 uses a combination of a sensor table 308, a node table 200, and/or an actor table 310 to provide a specific set of rules that improve computer-related technologies by enabling devices to compare and to determine the degree of similarity between different data samples regardless of the data type and/or format of the data sample they represent. The ability to directly compare data samples having different data types and/or formatting is a new functionality that cannot be performed using conventional computing systems and data structures. Conventional systems require data samples to be of the same type and/or format in order to perform any kind of operation on the data samples. In some instances, some types of data samples are incompatible with each other and cannot be compared because there is no common format available. For example, conventional computers are unable to compare data samples of images with data samples of audio samples because there is no common format available. In contrast, a device implementing a correlithm object processing system uses a combination of a sensor table 308, a node table 200, and/or an actor table 310 to compare and perform operations using correlithm objects 104 in the correlithm object domain regardless of the type or format of the original data samples. The correlithm object processing system 300 uses a combination of a sensor table 308, a node table 200, and/or an actor table 310 as a specific set of rules that provides a particular solution to dealing with different types of data samples and allows devices to perform operations on different types of data samples using correlithm objects 104 in the correlithm object domain. In some instances, comparing data samples as correlithm objects 104 is computationally more efficient and faster than comparing data samples in their original format. Thus, using correlithm objects 104 to represent data samples provides increased flexibility and improved performance compared to using other conventional data structures. The specific set of rules used by the correlithm object processing system 300 go beyond simply using routine and conventional activities in order to achieve this new functionality and performance improvements.

In addition, correlithm object processing system 300 uses a combination of a sensor table 308, a node table 200, and/or an actor table 310 to provide a particular manner for transforming data samples between ordinal number representations and correlithm objects 104 in a correlithm object domain. For example, the correlithm object processing system 300 may be configured to transform a representation of a data sample into a correlithm object 104, to perform various operations using the correlithm object 104 in the correlithm object domain, and to transform a resulting correlithm object 104 into another representation of a data sample. Transforming data samples between ordinal number representations and correlithm objects 104 involves fundamentally changing the data type of data samples between an ordinal number system and a categorical number system to achieve the previously described benefits of the correlithm object processing system 300.

FIG. 4 is a protocol diagram of an embodiment of a correlithm object process flow 400. A user device 100 implements process flow 400 to emulate a correlithm object processing system 300 to perform operations using correlithm object 104 such as facial recognition. The user device 100 implements process flow 400 to compare different data samples (e.g. images, voice signals, or text) to each other and to identify other objects based on the comparison. Process flow 400 provides instructions that allows user devices 100 to achieve the improved technical benefits of a correlithm object processing system 300.

Conventional systems are configured to use ordinal numbers for identifying different data samples. Ordinal based number systems only provide information about the sequence order of numbers based on their numeric values, and do not provide any information about any other types of relationships for the data samples being represented by the numeric values such as similarity. In contrast, a user device 100 can implement or emulate the correlithm object processing system 300 which provides an unconventional solution that uses categorical numbers and correlithm objects 104 to represent data samples. For example, the system 300 may be configured to use binary integers as categorical numbers to generate correlithm objects 104 which enables the user device 100 to perform operations directly based on similarities between different data samples. Categorical numbers provide information about how similar different data sample are from each other. Correlithm objects 104 generated using categorical numbers can be used directly by the system 300 for determining how similar different data samples are from each other without relying on exact matches, having a common data type or format, or conventional signal processing techniques.

A non-limiting example is provided to illustrate how the user device 100 implements process flow 400 to emulate a correlithm object processing system 300 to perform facial recognition on an image to determine the identity of the person in the image. In other examples, the user device 100 may implement process flow 400 to emulate a correlithm object processing system 300 to perform voice recognition, text recognition, or any other operation that compares different objects.

At step 402, a sensor 302 receives an input signal representing a data sample. For example, the sensor 302 receives an image of person's face as a real-world input value 320. The input signal may be in any suitable data type or format. In one embodiment, the sensor 302 may obtain the input signal in real-time from a peripheral device (e.g. a camera). In another embodiment, the sensor 302 may obtain the input signal from a memory or database.

At step 404, the sensor 302 identifies a real-world value entry in a sensor table 308 based on the input signal. In one embodiment, the system 300 identifies a real-world value entry in the sensor table 308 that matches the input signal. For example, the real-world value entries may comprise previously stored images. The sensor 302 may compare the received image to the previously stored images to identify a real-world value entry that matches the received image. In one embodiment, when the sensor 302 does not find an exact match, the sensor 302 finds a real-world value entry that closest matches the received image.

At step 406, the sensor 302 identifies and fetches an input correlithm object 104 in the sensor table 308 linked with the real-world value entry. At step 408, the sensor 302 sends the identified input correlithm object 104 to the node 304. In one embodiment, the identified input correlithm object 104 is represented in the sensor table 308 using a categorical binary integer string. The sensor 302 sends the binary string representing to the identified input correlithm object 104 to the node 304.

At step 410, the node 304 receives the input correlithm object 104 and determines distances 106 between the input correlithm object 104 and each source correlithm object 104 in a node table 200. In one embodiment, the distance 106 between two correlithm objects 104 can be determined based on the differences between the bits of the two correlithm objects 104. In other words, the distance 106 between two correlithm objects can be determined based on how many individual bits differ between a pair of correlithm objects 104. The distance 106 between two correlithm objects 104 can be computed using Hamming distance or any other suitable technique. In another embodiment, the distance 106 between two correlithm objects 104 can be determined using a Minkowski distance such as the Euclidean or “straight-line” distance between the correlithm objects 104. For example, the distance 106 between a pair of correlithm objects 104 may be determined by calculating the square root of the sum of squares of the coordinate difference in each dimension.

At step 412, the node 304 identifies a source correlithm object 104 from the node table 200 with the shortest distance 106. A source correlithm object 104 with the shortest distance from the input correlithm object 104 is a correlithm object 104 either matches or most closely matches the received input correlithm object 104.

At step 414, the node 304 identifies and fetches a target correlithm object 104 in the node table 200 linked with the source correlithm object 104. At step 416, the node 304 outputs the identified target correlithm object 104 to the actor 306. In this example, the identified target correlithm object 104 is represented in the node table 200 using a categorical binary integer string. The node 304 sends the binary string representing to the identified target correlithm object 104 to the actor 306.

At step 418, the actor 306 receives the target correlithm object 104 and determines distances between the target correlithm object 104 and each output correlithm object 104 in an actor table 310. The actor 306 may compute the distances between the target correlithm object 104 and each output correlithm object 104 in an actor table 310 using a process similar to the process described in step 410.

At step 420, the actor 306 identifies an output correlithm object 104 from the actor table 310 with the shortest distance 106. An output correlithm object 104 with the shortest distance from the target correlithm object 104 is a correlithm object 104 either matches or most closely matches the received target correlithm object 104.

At step 422, the actor 306 identifies and fetches a real-world output value in the actor table 310 linked with the output correlithm object 104. The real-world output value may be any suitable type of data sample that corresponds with the original input signal. For example, the real-world output value may be text that indicates the name of the person in the image or some other identifier associated with the person in the image. As another example, the real-world output value may be an audio signal or sample of the name of the person in the image. In other examples, the real-world output value may be any other suitable real-world signal or value that corresponds with the original input signal. The real-world output value may be in any suitable data type or format.

At step 424, the actor 306 outputs the identified real-world output value. In one embodiment, the actor 306 may output the real-world output value in real-time to a peripheral device (e.g. a display or a speaker). In one embodiment, the actor 306 may output the real-world output value to a memory or database. In one embodiment, the real-world output value is sent to another sensor 302. For example, the real-world output value may be sent to another sensor 302 as an input for another process.

FIG. 5 is a schematic diagram of an embodiment of a computer architecture 500 for emulating a correlithm object processing system 300 in a user device 100. The computer architecture 500 comprises a processor 502, a memory 504, a network interface 506, and an input-output (I/O) interface 508. The computer architecture 500 may be configured as shown or in any other suitable configuration.

The processor 502 comprises one or more processors operably coupled to the memory 504. The processor 502 is any electronic circuitry including, but not limited to, state machines, one or more central processing unit (CPU) chips, logic units, cores (e.g. a multi-core processor), field-programmable gate array (FPGAs), application specific integrated circuits (ASICs), graphics processing units (GPUs), or digital signal processors (DSPs). The processor 502 may be a programmable logic device, a microcontroller, a microprocessor, or any suitable combination of the preceding. The processor 502 is communicatively coupled to and in signal communication with the memory 504. The one or more processors are configured to process data and may be implemented in hardware or software. For example, the processor 502 may be 8-bit, 16-bit, 32-bit, 64-bit or of any other suitable architecture. The processor 502 may include an arithmetic logic unit (ALU) for performing arithmetic and logic operations, processor registers that supply operands to the ALU and store the results of ALU operations, and a control unit that fetches instructions from memory and executes them by directing the coordinated operations of the ALU, registers and other components.

The one or more processors are configured to implement various instructions. For example, the one or more processors are configured to execute instructions to implement sensor engines 510, node engines 512, and actor engines 514. In an embodiment, the sensor engines 510, the node engines 512, and the actor engines 514 are implemented using logic units, FPGAs, ASICs, DSPs, or any other suitable hardware. The sensor engines 510, the node engines 512, and the actor engines 514 are each configured to implement a specific set of rules or processes that provides an improved technological result.

In one embodiment, the sensor engine 510 is configured to implement sensors 302 that receive a real-world value 320 as an input, determine a correlithm object 104 based on the real-world value 320, and output the correlithm object 104. An example operation of a sensor 302 implemented by a sensor engine 510 is described in FIG. 4.

In one embodiment, the node engine 512 is configured to implement nodes 304 that receive a correlithm object 104 (e.g. an input correlithm object 104), determine another correlithm object 104 based on the received correlithm object 104, and output the identified correlithm object 104 (e.g. an output correlithm object 104). A node 304 implemented by a node engine 512 is also configured to compute distances between pairs of correlithm objects 104. An example operation of a node 304 implemented by a node engine 512 is described in FIG. 4.

In one embodiment, the actor engine 514 is configured to implement actors 306 that receive a correlithm object 104 (e.g. an output correlithm object 104), determine a real-world output value 326 based on the received correlithm object 104, and output the real-world output value 326. An example operation of an actor 306 implemented by an actor engine 514 is described in FIG. 4.

The memory 504 comprises one or more non-transitory disks, tape drives, or solid-state drives, and may be used as an over-flow data storage device, to store programs when such programs are selected for execution, and to store instructions and data that are read during program execution. The memory 504 may be volatile or non-volatile and may comprise read-only memory (ROM), random-access memory (RAM), ternary content-addressable memory (TCAM), dynamic random-access memory (DRAM), and static random-access memory (SRAM). The memory 504 is operable to store sensor instructions 516, node instructions 518, actor instructions 520, sensor tables 308, node tables 200, actor tables 310, and/or any other data or instructions. The sensor instructions 516, the node instructions 518, and the actor instructions 520 comprise any suitable set of instructions, logic, rules, or code operable to execute the sensor engines 510, node engines 512, and the actor engines 514, respectively.

The sensor tables 308, the node tables 200, and the actor tables 310 may be configured similar to the sensor tables 308, the node tables 200, and the actor tables 310 described in FIG. 3, respectively.

The network interface 506 is configured to enable wired and/or wireless communications. The network interface 506 is configured to communicate data with any other device or system. For example, the network interface 506 may be configured for communication with a modem, a switch, a router, a bridge, a server, or a client. The processor 502 is configured to send and receive data using the network interface 506.

The I/O interface 508 may comprise ports, transmitters, receivers, transceivers, or any other devices for transmitting and/or receiving data with peripheral devices as would be appreciated by one of ordinary skill in the art upon viewing this disclosure. For example, the I/O interface 508 may be configured to communicate data between the processor 502 and peripheral hardware such as a graphical user interface, a display, a mouse, a keyboard, a key pad, and a touch sensor (e.g. a touch screen).

FIGS. 6 and 7 are schematic diagrams of an embodiment of a device 100 implementing string correlithm objects 602 for a correlithm object processing system 300. String correlithm objects 602 can be used by a correlithm object processing system 300 to embed higher orders of correlithm objects 104 within lower orders of correlithm objects 104. The order of a correlithm object 104 depends on the number of bits used to represent the correlithm object 104. The order of a correlithm object 104 also corresponds with the number of dimensions in the n-dimensional space 102 where the correlithm object 104 is located. For example, a correlithm object 104 represented by a 64-bit string is a higher order correlithm object 104 than a correlithm object 104 represented by 16-bit string.

Conventional computing systems rely on accurate data input and are unable to detect or correct for data input errors in real time. For example, a conventional computing device assumes a data stream is correct even when the data stream has bit errors. When a bit error occurs that leads to an unknown data value, the conventional computing device is unable to resolve the error without manual intervention. In contrast, string correlithm objects 602 enable a device 100 to perform operations such as error correction and interpolation within the correlithm object processing system 300. For example, higher order correlithm objects 104 can be used to associate an input correlithm object 104 with a lower order correlithm 104 when an input correlithm object does not correspond with a particular correlithm object 104 in an n-dimensional space 102. The correlithm object processing system 300 uses the embedded higher order correlithm objects 104 to define correlithm objects 104 between the lower order correlithm objects 104 which allows the device 100 to identify a correlithm object 104 in the lower order correlithm objects n-dimensional space 102 that corresponds with the input correlithm object 104. Using string correlithm objects 602, the correlithm object processing system 300 is able to interpolate and/or to compensate for errors (e.g. bit errors) which improve the functionality of the correlithm object processing system 300 and the operation of the device 100.

In some instances, string correlithm objects 602 may be used to represent a series of data samples or temporal data samples. For example, a string correlithm object 602 may be used to represent audio or video segments. In this example, media segments are represented by sequential correlithm objects that are linked together using a string correlithm object 602.

FIG. 6 illustrates an embodiment of how a string correlithm object 602 may be implemented within a node 304 by a device 100. In other embodiments, string correlithm objects 602 may be integrated within a sensor 302 or an actor 306. In 32-dimensional space 102 where correlithm objects 104 can be represented by a 32-bit string, the 32-bit string can be embedded and used to represent correlithm objects 104 in a lower order 3-dimensional space 102 which uses three bits. The 32-bit strings can be partitioned into three 12-bit portions, where each portion corresponds with one of the three bits in the 3-dimensional space 102. For example, the correlithm object 104 represented by the 3-bit binary value of 000 may be represented by a 32-bit binary string of zeros and the correlithm object represented by the binary value of 111 may be represented by a 32-bit string of all ones. As another example, the correlithm object 104 represented by the 3-bit binary value of 100 may be represented by a 32-bit binary string with 12 bits set to one followed by 24 bits set to zero. In other examples, string correlithm objects 602 can be used to embed any other combination and/or number of n-dimensional spaces 102.

In one embodiment, when a higher order n-dimensional space 102 is embedded in a lower order n-dimensional space 102, one or more correlithm objects 104 are present in both the lower order n-dimensional space 102 and the higher order n-dimensional space 102. Correlithm objects 104 that are present in both the lower order n-dimensional space 102 and the higher order n-dimensional space 102 may be referred to as parent correlithm objects 603. Correlithm objects 104 in the higher order n-dimensional space 102 may be referred to as child correlithm objects 604. In this example, the correlithm objects 104 in the 3-dimensional space 102 may be referred to as parent correlithm objects 603 while the correlithm objects 104 in the 32-dimensional space 102 may be referred to as child correlithm objects 604. In general, child correlithm objects 604 are represented by a higher order binary string than parent correlithm objects 603. In other words, the bit strings used to represent a child correlithm object 604 may have more bits than the bit strings used to represent a parent correlithm object 603. The distance between parent correlithm objects 603 may be referred to as a standard distance. The distance between child correlithm objects 604 and other child correlithm objects 604 or parent correlithm objects 603 may be referred to as a fractional distance which is less than the standard distance.

FIG. 7 illustrates another embodiment of how a string correlithm object 602 may be implemented within a node 304 by a device 100. In other embodiments, string correlithm objects 602 may be integrated within a sensor 302 or an actor 306. In FIG. 7, a set of correlithm objects 104 are shown within an n-dimensional space 102. In one embodiment, the correlithm objects 104 are equally spaced from adjacent correlithm objects 104. A string correlithm object 602 comprises a parent correlithm object 603 linked with one or more child correlithm objects 604. FIG. 7 illustrates three string correlithm objects 602 where each string correlithm object 602 comprises a parent correlithm object 603 linked with six child correlithm objects 603. In other examples, the n-dimensional space 102 may comprise any suitable number of correlithm objects 104 and/or string correlithm objects 602.

A parent correlithm object 603 may be a member of one or more string correlithm objects 602. For example, a parent correlithm object 603 may be linked with one or more sets of child correlithm objects 604 in a node table 200. In one embodiment, a child correlithm object 604 may only be linked with one parent correlithm object 603. String correlithm objects 602 may be configured to form a daisy chain or a linear chain of child correlithm objects 604. In one embodiment, string correlithm objects 602 are configured such that child correlithm objects 604 do not form loops where the chain of child correlithm objects 604 intersect with themselves. Each child correlithm objects 604 is less than the standard distance away from its parent correlithm object 603. The child correlithm objects 604 are equally spaced from other adjacent child correlithm objects 604.

In one embodiment, a data structure such as node table 200 may be used to map or link parent correlithm objects 603 with child correlithm objects 604. The node table 200 is generally configured to identify a plurality of parent correlithm objects 603 and one or more child correlithm objects 604 linked with each of the parent correlithm objects 603. For example, node table 200 may be configured with a first column that lists child correlithm objects 604 and a second column that lists parent correlithm objects 603. In other examples, the node table 200 may be configured in any other suitable manner or may be implemented using any other suitable data structure. In some embodiments, one or more mapping functions may be used to convert between a child correlithm object 604 and a parent correlithm object 603.

FIG. 8 is a schematic diagram of another embodiment of a device 100 implementing string correlithm objects 602 in a node 304 for a correlithm object processing system 300. Previously in FIG. 7, a string correlithm object 602 comprised of child correlithm objects 604 that are adjacent to a parent correlithm object 603. In FIG. 8, string correlithm objects 602 comprise one or more child correlithm objects 604 in between a pair of parent correlithm objects 603. In this configuration, the string correlithm object 602 initially diverges from a first parent correlithm object 603A and then later converges toward a second parent correlithm object 603B. This configuration allows the correlithm object processing system 300 to generate a string correlithm object 602 between a particular pair of parent correlithm objects 603.

The string correlithm objects described in FIG. 8 allow the device 100 to interpolate value between a specific pair of correlithm objects 104 (i.e. parent correlithm objects 603). In other words, these types of string correlithm objects 602 allow the device 100 to perform interpolation between a set of parent correlithm objects 603. Interpolation between a set of parent correlithm objects 603 enables the device 100 to perform operations such as quantization which convert between different orders of correlithm objects 104.

In one embodiment, a data structure such as node table 200 may be used to map or link the parent correlithm objects 603 with their respective child correlithm objects 604. For example, node table 200 may be configured with a first column that lists child correlithm objects 604 and a second column that lists parent correlithm objects 603. In this example, a first portion of the child correlithm objects 604 is linked with the first parent correlithm object 603A and a second portion of the child correlithm objects 604 is linked with the second parent correlithm object 603B. In other examples, the node table 200 may be configured in any other suitable manner or may be implemented using any other suitable data structure. In some embodiments, one or more mapping functions may be used to convert between a child correlithm object 604 and a parent correlithm object 603.

FIG. 9 is an embodiment of a graph of a probability distribution 900 for matching a random correlithm object 104 with a particular correlithm object 104. Axis 902 indicates the number of bits that are different between a random correlithm object 104 with a particular correlithm object 104. Axis 904 indicates the probability associated with a particular number of bits being different between a random correlithm object 104 and a particular correlithm object 104.

As an example, FIG. 9 illustrates the probability distribution 900 for matching correlithm objects 104 in a 64-dimensional space 102. In one embodiment, the probability distribution 900 is approximately a Gaussian distribution. As the number of dimensions in the n-dimensional space 102 increases, the probability distribution 900 starts to shape more like an impulse response function. In other examples, the probability distribution 900 may follow any other suitable type of distribution.

Location 906 illustrates an exact match between a random correlithm object 104 with a particular correlithm object 104. As shown by the probability distribution 900, the probability of an exact match between a random correlithm object 104 with a particular correlithm object 104 is extremely low. In other words, when an exact match occurs the event is most likely deliberate and not a random occurrence.

Location 908 illustrates when all of the bits between the random correlithm object 104 with the particular correlithm object 104 are different. In this example, the random correlithm object 104 and the particular correlithm object 104 have 64 bits that are different from each other. As shown by the probability distribution 900, the probability of all the bits being different between the random correlithm object 104 and the particular correlithm object 104 is also extremely low.

Location 910 illustrates an average number of bits that are different between a random correlithm object 104 and the particular correlithm object 104. In general, the average number of different bits between the random correlithm object 104 and the particular correlithm object 104 is equal to

$\frac{n}{2}$

(also referred to as standard distance), where ‘n’ is the number of dimensions in the n-dimensional space 102. In this example, the average number of bits that are different between a random correlithm object 104 and the particular correlithm object 104 is 32 bits.

Location 912 illustrates a cutoff region that defines a core distance for a correlithm object core. The correlithm object 104 at location 906 may also be referred to as a root correlithm object for a correlithm object core. The core distance defines the maximum number of bits that can be different between a correlithm object 104 and the root correlithm object to be considered within a correlithm object core for the root correlithm object. In other words, the core distance defines the maximum number of hops away a correlithm object 104 can be from a root correlithm object to be considered a part of the correlithm object core for the root correlithm object. Additional information about a correlithm object core is described in FIG. 10. In this example, the cutoff region defines a core distance equal to six standard deviations away from the average number of bits that are different between a random correlithm object 104 and the particular correlithm object 104. In general, the standard deviation is equal to

$\sqrt{\frac{n}{4}},$

where ‘n’ is the number of dimensions in the n-dimensional space 102. In this example, the standard deviation of the 64-dimensional space 102 is equal to 4 bits. This means the cutoff region (location 912) is located 24 bits away from location 910 which is 8 bits away from the root correlithm object at location 906. In other words, the core distance is equal to 8 bits. This means that the cutoff region at location 912 indicates that the core distance for a correlithm object core includes correlithm objects 104 that have up to 8 bits different then the root correlithm object or are up to 8 hops away from the root correlithm object. In other examples, the cutoff region that defines the core distance may be equal any other suitable value. For instance, the cutoff region may be set to 2, 4, 8, 10, 12, or any other suitable number of standard deviations away from location 910.

FIG. 10 is a schematic diagram of an embodiment of a device 100 implementing a correlithm object core 1002 in a node 304 for a correlithm object processing system 300. In other embodiments, correlithm object cores 1002 may be integrated with a sensor 302 or an actor 306. Correlithm object cores 1002 can be used by a correlithm object processing system 300 to classify or group correlithm objects 104 and/or the data samples they represent. For example, a set of correlithm objects 104 can be grouped together by linking them with a correlithm object core 1402. The correlithm object core 1002 identifies the class or type associated with the set of correlithm objects 104.

In one embodiment, a correlithm object core 1002 comprises a root correlithm object 1004 that is linked with a set of correlithm objects 104. The set of correlithm objects 104 that are linked with the root correlithm object 1004 are the correlithm objects 104 which are located within the core distance of the root correlithm object 1004. The set of correlithm objects 104 are linked with only one root correlithm object 1004. The core distance can be computed using a process similar to the process described in FIG. 9. For example, in a 64-dimensional space 102 with a core distance defined at six sigma (i.e. six standard deviations), the core distance is equal to 8-bits. This means that correlithm objects 104 within up to eight hops away from the root correlithm object 1004 are members of the correlithm object core 1002 for the root correlithm object 1004.

In one embodiment, a data structure such as node table 200 may be used to map or link root correlithm objects 1004 with sets of correlithm objects 104. The node table 200 is generally configured to identify a plurality of root correlithm objects 1004 and correlithm objects 104 linked with the root correlithm objects 1004. For example, node table 200 may be configured with a first column that lists correlithm object cores 1002, a second column that lists root correlithm objects 1004, and a third column that lists correlithm objects 104. In other examples, the node table 200 may be configured in any other suitable manner or may be implemented using any other suitable data structure. In some embodiments, one or more mapping functions may be used to convert between correlithm objects 104 and a root correlithm object 1004.

FIG. 11 is an embodiment of a graph of probability distributions 1100 for adjacent root correlithm objects 1004. Axis 1102 indicates the distance between the root correlithm objects 1004, for example, in units of bits. Axis 1104 indicates the probability associated with the number of bits being different between a random correlithm object 104 and a root correlithm object 1004.

As an example, FIG. 11 illustrates the probability distributions for adjacent root correlithm objects 1004 in a 1024-dimensional space 102. Location 1106 illustrates the location of a first root correlithm object 1004 with respect to a second root correlithm object 1004. Location 1108 illustrates the location of the second root correlithm object 1004. Each root correlithm object 1004 is located an average distance away from each other which is equal to

$\frac{n}{2},$

where ‘n’ is the number of dimensions in the n-dimensional space 102. In this example, the first root correlithm object 1004 and the second root correlithm object 1004 are 512 bits or 32 standard deviations away from each other.

In this example, the cutoff region for each root correlithm object 1004 is located at six standard deviations from locations 1106 and 1108. In other examples, the cutoff region may be located at any other suitable location. For example, the cutoff region defining the core distance may one, two, four, ten, or any other suitable number of standard deviations away from the average distance between correlithm objects 104 in the n-dimensional space 102. Location 1110 illustrates a first cutoff region that defines a first core distance 1114 for the first root correlithm object 1004. Location 1112 illustrates a second cutoff region that defines a second core distance 1116 for the second root correlithm object 1004.

In this example, the core distances for the first root correlithm object 1004 and the second root correlithm object 1004 do not overlap with each other. This means that correlithm objects 104 within the correlithm object core 1002 of one of the root correlithm objects 1004 are uniquely associated with the root correlithm object 1004 and there is no ambiguity.

FIG. 12 illustrates a schematic view of an embodiment of correlithm object processing system 300 that is implemented by a user device 100 to perform operations using correlithm objects 104. The system 300 includes some or all of the components and functionality illustrated and described with respect to FIGS. 1-11, and includes additional components for enhanced functionality, as described in detail herein. System 300, including any additional components described herein, can be emulated using the computer architecture illustrated in FIG. 5.

System 300 includes a node 304 and node table 200 stored in memory 504. Node 304 is communicatively coupled to a network of other components 1202, which may include any suitable number and combination of sensors 302, nodes 304, actors 306, and any other elements of a correlithm object processing system 300 described with respect to FIGS. 1-11. Node table 200 may be configured similar to table 200 described in FIGS. 2 and 3, and link source correlithm objects with target correlithm objects in n-dimensional space 102. Node 304 is configured to receive an input correlithm object 104 a from any other component in system 300, such as a sensor 302 or another node 304. Node 304 determines n-dimensional distances (e.g., Hamming distance, anti-Hamming distance, Minkowski distance, Euclidean distance, etc.) between the input correlithm object 104 a and each of the source correlithm objects stored in column 202 of node table 200. If node 304 determines that input correlithm object 104 a is not within an n-dimensional distance threshold (e.g., six standard deviations) from any of the source correlithm objects stored in column 202 of node table 200, then node 304 adds the input correlithm object 104 a to the node table 200 as a new source correlithm object in column 202 of node table 200.

For example, assume that input correlithm object 104 a and the source correlithm objects stored in node table 200 are 256-bit binary strings such that one standard deviation is 8 bits. If node 304 determines that the Hamming distances between input correlithm object 104 a and either source correlithm object 1 or source correlithm object 2 stored in column 202 of node table 200 is not less than 48 (i.e., within six standard deviations), then node 304 determines that input correlithm object 104 a is not statistically similar to either source correlithm object 1 or source correlithm object 2 in n-dimensional space 102. In this situation, node 304 adds the input correlithm object 104 a to the node table 200 as source correlithm object 3 in column 202 of node table 200, as indicated by arrow 1204. Node 304 also links the new source correlithm object 3 in column 202 with a new target correlithm object 3 in column 204 of node table 200. In one embodiment, new target correlithm object 3 may be a randomly determined binary string in n-dimensional space 102. This pairing of new source correlithm object 3 and new target correlithm object 3 is added to the node table 200 for further use in system 300.

In this way, system 300 may implement a form of active learning in an artificial intelligence system. For example, one practical application of determining that an input correlithm object 104 is not statistically similar to any source correlithm object in a node table 200 and, in response, adding it as a new source correlithm object linked with a new target correlithm object is in conjunction with a network security application where an input correlithm object 104 may be associated with an intrusion attempt by a network device with a particular IP address. If node table 200 does not already store a source correlithm object that represents this particular intrusion attempt by a network device with a particular IP address, then adding the input correlithm object 104 that represents the specifics of this particular intrusion attempt can be used for further processing by system 300 in the event that particular network device attempts to communicate in the network again, including in conjunction with future intrusion attempts. For example, by storing the input correlithm object 104 associated with the intrusion attempt in node table 200, system 300 is trained to identify the IP address for the network device that attempted the intrusion attack, and to treat this IP address with heightened security measures.

Node 304 is also configured to process feedback from other components 1202 of correlithm object processing system 300 to determine whether to add a new source correlithm object to table 200. For example, assume that node 304 receives input correlithm object 104 b, which is also a 256-bit binary string. In this example, assume that node 304 determines that the Hamming distances between input correlithm object 104 b and source correlithm object 3 stored in column 202 of node table 200 is less than 48 (i.e., is within six standard deviations) but is not less than 24 (i.e., is not within three standard deviations). In this instance, node 304 may determine that input correlithm object 104 b is a statistically similar match to source correlithm object 3 stored in node table 200 and therefore output target correlithm object 3 as an output correlithm object 1210 for use by other components 1202 of system 300. Assume further, however, that the other components 1202 determine that target correlithm object 3 leads to erroneous results when further processed by other components 1202. For example, system 300 may implement a network security system and input correlithm object 104 b may represent an IP address for a network device that was erroneously matched to an IP address represented by source correlithm object 3 such that the target correlithm object 3 communicated as output correlithm object 1210 led to erroneous results when processed by other components 1202 of system 300. In this example, one or more of the other components 1202 may communicate an error message 1212 back to node 304 where the erroneous IP address match was processed (i.e., input correlithm object 104 b was determined to be a statistically similar match to source correlithm object 3).

Error message 1212 may include information identifying the target correlithm object 3 that led to the underlying error condition, as well as the input correlithm object 104 b that was received by node 304 and determined to be a statistically similar match to source correlithm object 3 (e.g., IP address represented by input correlithm object 104 b erroneously matched to IP address represented by source correlithm object 3), causing node 304 to communicate the target correlithm object 3 as an output correlithm object 1210. In response to receiving error message 1212, node 304 adds the input correlithm object 104 b to the node table 200 as a new source correlithm object 4 in column 202, as indicated by arrow 1214. Node 304 also links the new source correlithm object 4 in column 202 with a new target correlithm object 4 in column 204 of node table 200. This pairing of new source correlithm object 4 and target correlithm object 4 is added to the node table 200 for further use in system 300.

By adding the input correlithm object 104 b as a new source correlithm object 4 in node table 200, system 300 can represent the specifics of a particular intrusion attempt, including the IP address of the responsible network device, for further processing in the event that particular network device attempts to communicate in the network again, including in conjunction with future intrusion attempts. In a particular embodiment, node 304 determines the number of bits that differ between new source correlithm object 4 and source correlithm object 3 that was erroneously determined to be a statistically similar match to input correlithm object 104 b by node 304, leading to the error condition underlying the error message 1212. In this embodiment, node 304 generates new target correlithm object 4 that differs by the same number of bits from target correlithm object 3 as the number of bits that were determined to differ between source correlithm object 4 and source correlithm object 3. For example, in the event that source correlithm object 4 differs from source correlithm object 3 by 32 of 256 total bits, then node 304 may generate new target correlithm object 4 that differs by 32 of 256 total bits from target correlithm object 3.

FIG. 13 illustrates one embodiment of a process 1300 for emulating a node 304 in a correlithm object processing system 300. At step 1302, node 304 receives an input correlithm object 104. At step 1304, node 304 consults a node table 200 and determines n-dimensional distance values (e.g., Hamming distance, anti-Hamming distance, Minkowski distance, or Euclidean distance) between the input correlithm object 104 received at step 1302 with each source correlithm object of the node table 200. At step 1306, node 304 determines whether the input correlithm object 104 is within an n-dimensional distance threshold (e.g., six standard deviations) of any source correlithm object stored in the node table 200. If so, execution proceeds to step 1308 where node 304 identifies the source correlithm object from the node table 200 that is the closest match (e.g., smallest n-dimensional distance) to the input correlithm object 104. Execution proceeds to step 1310, where node 304 identifies the target correlithm object linked to the source correlithm object identified at step 1308. At step 1312, node 304 outputs the target correlithm object identified at step 1310.

If at step 1306, node 304 determines that the input correlithm object 104 is not within a suitable n-dimensional distance threshold of any source correlithm object stored in node table 200, then execution proceeds to step 1314 where node 304 adds the input correlithm object 104 received at step 1302 to the node table 200 as a new source correlithm object, and at step 1316 node 304 links a new target correlithm object to the newly added source correlithm object in the node table 200. Node 304 outputs the new target correlithm object at step 1318.

Referring back to step 1312, in one embodiment execution proceeds to step 1320 where node 304 determines whether it received an error message 1212. If so, then node 304 executes step 1322 to add the input correlithm object 104 associated with the error message 1212 to the node table as a new source correlithm object, and at step 1324 node 304 links a new target correlithm object to the newly added source correlithm object in the node table 200. Node 304 outputs the new target correlithm object at step 1326. Execution terminates at step 1328.

While several embodiments have been provided in the present disclosure, it should be understood that the disclosed systems and methods might be embodied in many other specific forms without departing from the spirit or scope of the present disclosure. The present examples are to be considered as illustrative and not restrictive, and the intention is not to be limited to the details given herein. For example, the various elements or components may be combined or integrated in another system or certain features may be omitted, or not implemented.

In addition, techniques, systems, subsystems, and methods described and illustrated in the various embodiments as discrete or separate may be combined or integrated with other systems, modules, techniques, or methods without departing from the scope of the present disclosure. Other items shown or discussed as coupled or directly coupled or communicating with each other may be indirectly coupled or communicating through some interface, device, or intermediate component whether electrically, mechanically, or otherwise. Other examples of changes, substitutions, and alterations are ascertainable by one skilled in the art and could be made without departing from the spirit and scope disclosed herein.

To aid the Patent Office, and any readers of any patent issued on this application in interpreting the claims appended hereto, applicants note that they do not intend any of the appended claims to invoke 35 U.S.C. § 112(f) as it exists on the date of filing hereof unless the words “means for” or “step for” are explicitly used in the particular claim. 

1. A device configured to emulate a node in a correlithm object processing system, comprising: a memory operable to store a node table that identifies: a plurality of source correlithm objects, wherein each source correlithm object is a point in a first n-dimensional space represented by a binary string; and a plurality of target correlithm objects, wherein: each target correlithm object is a point in a second n-dimensional space represented by a binary string, and each target correlithm object is linked with a source correlithm object from among the plurality of source correlithm objects; and a node operably coupled to the memory, the node implemented by a processor and configured to: receive an input correlithm object; determine n-dimensional distances between the input correlithm object and each of the source correlithm objects in the node table in response to receiving the input correlithm object; determine that the input correlithm object is not within an n-dimensional distance threshold from any of the source correlithm objects in the node table; add the input correlithm object to the node table as a new source correlithm object in response to determining that the input correlithm object is not within the n-dimensional distance threshold from any of the source correlithm objects already in the node table; and link a new target correlithm object to the new source correlithm object in the node table.
 2. The device of claim 1, wherein the n-dimensional distance threshold comprises a predetermined number of standard deviations of n-dimensional distance.
 3. The device of claim 1, wherein the first n-dimensional space and the second n-dimensional space have different numbers of dimensions.
 4. The device of claim 1, wherein determining n-dimensional distances between the input correlithm object and each of the source correlithm objects in the node table comprises determining a Hamming distance between the input correlithm object and a source correlithm object.
 5. The device of claim 1, wherein the input correlithm object is a first input correlithm object and the node is further configured to: receive a second input correlithm object; determine n-dimensional distances between the second input correlithm object and each of the source correlithm objects in the node table in response to receiving the second input correlithm object; determine that the second input correlithm object is within an n-dimensional distance threshold from a particular one of the source correlithm objects in the node table; and output a target correlithm object linked to the particular source correlithm object.
 6. The device of claim 5, wherein the new source correlithm object is a first new source correlithm object, the new target correlithm object is a first new target correlithm object, and the node is further configured to: receive an error message associated with the target correlithm object that was output; add the second input correlithm object to the node table as a second new source correlithm object in response to receiving the error message; and link a second new target correlithm object to the second new source correlithm object in the node table.
 7. The device of claim 6, wherein: the second new source correlithm object differs from the first new source correlithm object by a particular number of bits in n-dimensional space; and the second new target correlithm object differs from the first new target correlithm object by the particular number of bits in n-dimensional space.
 8. A method for emulating a node in a correlithm object processing system, the method comprising: storing a node table that identifies: a plurality of source correlithm objects, wherein each source correlithm object is a point in a first n-dimensional space represented by a binary string; and a plurality of target correlithm objects, wherein: each target correlithm object is a point in a second n-dimensional space represented by a binary string, and each target correlithm object is linked with a source correlithm object from among the plurality of source correlithm objects; and receiving an input correlithm object; determining n-dimensional distances between the input correlithm object and each of the source correlithm objects in the node table in response to receiving the input correlithm object; determining that the input correlithm object is not within an n-dimensional distance threshold from any of the source correlithm objects in the node table; adding the input correlithm object to the node table as a new source correlithm object in response to determining that the input correlithm object is not within the n-dimensional distance threshold from any of the source correlithm objects already in the node table; and linking a new target correlithm object to the new source correlithm object in the node table.
 9. The method of claim 8, wherein the n-dimensional distance threshold comprises a predetermined number of standard deviations of n-dimensional distance.
 10. The method of claim 8, wherein the first n-dimensional space and the second n-dimensional space have different numbers of dimensions.
 11. The method of claim 8, wherein determining n-dimensional distances between the input correlithm object and each of the source correlithm objects in the node table comprises determining a Hamming distance between the input correlithm object and a source correlithm object.
 12. The method of claim 8, wherein the input correlithm object is a first input correlithm object and the method further comprising: receiving a second input correlithm object; determining n-dimensional distances between the second input correlithm object and each of the source correlithm objects in the node table in response to receiving the second input correlithm object; determining that the second input correlithm object is within an n-dimensional distance threshold from a particular one of the source correlithm objects in the node table; and outputting a target correlithm object linked to the particular source correlithm object.
 13. The method of claim 12, wherein the new source correlithm object is a first new source correlithm object and the new target correlithm object is a first new target correlithm object, the method further comprising: receiving an error message associated with the target correlithm object that was output; adding the second input correlithm object to the node table as a second new source correlithm object in response to receiving the error message; and linking a second new target correlithm object to the second new source correlithm object in the node table.
 14. The method of claim 13, wherein: the second new source correlithm object differs from the first new source correlithm object by a particular number of bits in n-dimensional space; and the second new target correlithm object differs from the first new target correlithm object by the particular number of bits in n-dimensional space.
 15. A device configured to emulate a node in a correlithm object processing system, comprising: a memory operable to store a node table that identifies: a plurality of source correlithm objects, wherein each source correlithm object is a point in a first n-dimensional space represented by a binary string; and a plurality of target correlithm objects, wherein: each target correlithm object is a point in a second n-dimensional space represented by a binary string, and each target correlithm object is linked with a source correlithm object from among the plurality of source correlithm objects; and a node operably coupled to the memory, the node implemented by a processor and configured to: receive an input correlithm object; determine n-dimensional distances between the input correlithm object and each of the source correlithm objects in the node table in response to receiving the input correlithm object; determine that the input correlithm object is not within a predetermined number of standard deviations of n-dimensional distance from any of the source correlithm objects in the node table; add the input correlithm object to the node table as a new source correlithm object in response to determining that the input correlithm object is not within the predetermined number of standard deviations of n-dimensional distance from any of the source correlithm objects already in the node table; and link a new target correlithm object to the new source correlithm object in the node table.
 16. The device of claim 15, wherein the first n-dimensional space and the second n-dimensional space have different numbers of dimensions.
 17. The device of claim 15, wherein determining distances between the input correlithm object and each of the source correlithm objects in the node table comprises determining a Hamming distance between the input correlithm object and a source correlithm object.
 18. The device of claim 15, wherein the input correlithm object is a first input correlithm object and the node is further configured to: receive a second input correlithm object; determine n-dimensional distances between the second input correlithm object and each of the source correlithm objects in the node table in response to receiving the second input correlithm object; determine that the second input correlithm object is within an n-dimensional distance threshold from a particular one of the source correlithm objects in the node table; and output a target correlithm object linked to the particular source correlithm object.
 19. The device of claim 18, wherein the new source correlithm object is a first new source correlithm object, the new target correlithm object is a first new target correlithm object, and the node is further configured to: receive an error message associated with the target correlithm object that was output; add the second input correlithm object to the node table as a second new source correlithm object in response to receiving the error message; and link a second new target correlithm object to the second new source correlithm object in the node table.
 20. The device of claim 19, wherein: the second new source correlithm object differs from the first new source correlithm object by a particular number of bits in n-dimensional space; and the second new target correlithm object differs from the first new target correlithm object by the particular number of bits in n-dimensional space. 